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RD Sharma Class 12 Solutions Chapter 18 - Maxima and Minima (Ex 18.4) Exercise 18.4

Last updated date: 16th Apr 2024
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RD Sharma Class 12 Solutions Chapter 18 - Maxima and Minima (Ex 18.4) Exercise 18.4 - Free PDF

Free PDF download of RD Sharma Class 12 Solutions Chapter 18 - Maxima and Minima Exercise 18.4 solved by Expert Mathematics Teachers on Vedantu. All Chapter 18 - Maxima and Minima Ex 18.4 Questions with Solutions for RD Sharma Class 12 Maths to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

The algebraic and trigonometric functions are best analysed and visualised using coordinate geometry and by plotting the functions on the x-y plane over a graph.

Competitive Exams after 12th Science

Overview of Class 12 Solutions Chapter 18 - Maxima and Minima

Maxima and Minima

  • Maxima and Minima are known as the extremes of a function.

  • Maxima and Minima are the maximum or minimum values of a function within the given set of range

  • For a particularly given function and the entire range, the maximum value of the function is called absolute maxima and the minimum value of the function is called absolute minimum.

  • Any other range other than absolute Maxima or absolute minimum is called local maxima and local minima.

  • For any given function the values of Maxima and Minima describes the peaks and valleys which mark the position of the curve.

How to find Maxima and Minima for a Given Particular Function?

Maxima and Minima for a given particular function can be calculated by using

  1. First-order derivative test

  2. Second-order derivative test

The first-order derivative test tells us about the direction of the function given or it tells us whether the function is in increasing or decreasing order. The second-order derivative test measures the instantaneous change of rate of the first derivative. The second-order derivative test gives us the idea of the shape of a graph for a given function.

Some Related Topics on Maxima and Minima

  • Domain and range of a function

  • Domain definition

  • Range in algebra

  • Absolute value

Outline of RD Sharma Chapter 18 Maxima and Minima for Class 12

  • Exercise 18.1 - 8 questions

  • Exercise 18.2 - 16 questions

  • Exercise 18.3 - 19 questions

  • Exercise 18.4 - 9 questions

  • Exercise 18.5 - 50 questions

FAQs on RD Sharma Class 12 Solutions Chapter 18 - Maxima and Minima (Ex 18.4) Exercise 18.4

1. What could be said as a daily life application of Maxima and Minima?

As we have already learnt that Maxima and Minima are the function extremes, there are multiple applications that we could use in daily life scenarios such as when one desires to deduce the Maxima and Minima of a said quantity. These quantities find their presence in many fields in our daily life such as economics, engineering and even it is known to be very helpful in business.

2. What type of questions does RD Sharma Class 12 Chapter 18 consist of?

As the RD Sharma book is renowned in the field of mathematics the book consists of a lot of formula-based questions and some picture solving or analytical problems in form of multiple-choice questions too in various topics, it enables you to have an overall knowledge of the topic. To find out the relative value of Maxima and Minima for a given particular function, first of all, the graph of that particular function is drawn and observing the graph itself helps you to find Maxima and Minima.

The RD Sharma book comprises model test papers along with detailed solutions which will help you out in proper understanding of the concept and enhance your preparation with the question-solving abilities.

3. Is the Vedantu institute helpful for the preparation of Class 12 Chapter 18 for exams?

Yes, the Vedantu institute helps you out throughout the session for your exam preparation. The test series and assignments were given by the institute Vedantu are also good and up to the mark, the best part is they have replays of the classes and the slides in PDF forms which are available for as long as you want and these have proved to be helpful when we revise for the test and we have after each chapter. Apart from these Vedantu even provides a section where all important questions could be found for referral by students. Vedantu’s professional assistance and expert advice are considered to be very effective all this time. In addition to all these, it provides you not only standard books free pdfs but also most referred books by other students and faculty members.